Extension of differentiable local mappings on linear topological spaces
Functional Analysis
2018-12-31 v1
Abstract
Usually, for extension of local maps, one uses multiplication by so called bump functions. However, majority of infinite-dimensional linear topological spaces do not have smooth bump functions. Therefore, in \cite{BR} we suggested a new approach for Banach spaces, based on the composition with locally identical maps. In the present work we discuss a possibility of generalization of this method for arbitrary spaces and applications of this theory.
Keywords
Cite
@article{arxiv.1812.11064,
title = {Extension of differentiable local mappings on linear topological spaces},
author = {Genrich Belitskii and Victoria Rayskin},
journal= {arXiv preprint arXiv:1812.11064},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1805.10240